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Finding the Fourth Proportional to 56,491.52, 84,737.22 and 21,431.16

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Solution

The fourth proportional to 56,491.52, 84,737.22 and 21,431.16 is: 32,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,491.52 : 84,737.22 = 21,431.16 : x
  2. Step 2: Convert to fraction form
    56,491.52/84,737.22 = 21,431.16/x
  3. Step 3: Cross multiply
    56,491.52x = 84,737.22 × 21,431.16
  4. Step 4: Simplify right side
    56,491.52x = 1,816,016,919.78
  5. Step 5: Solve for x
    x = 1,816,016,919.78/56,491.52
  6. Step 6: Final answer
    x = 32,146.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.